Unity 5 - How to tell two prefabs apart?

So I have this issue. I’m making a splitscreen game where each player has a UI prefab. In code, I need to tell these prefabs apart in code, but I don’t know how.

For example, the prefab has an embedded GameObject called “HUD Menu”. Each time this prefab is instantiated, I need to use GameObject.Find(“HUD Menu”) to find HUD Menu. While the first instance of the prefab works fine, since there’s only one instance of HUD Menu, the second doesn’t because now the code is looking through two identical game objects with no way of differentiating them.

How can I make it so that I can still use the one prefab for all players, but still tell which prefab is which?

Give them different names after instantiating? i.e.

GameObject newHud =  Instantiate(yourPrefab,...);
newHud.name = "HUD Menu 1";

GameObject nextNewHud =  Instantiate(yourPrefab,...);
nextNewHud.name = "HUD Menu 2";